Extensions 1→N→G→Q→1 with N=C₇ and Q=C₁₆⋊C₂²

Direct product G=N×Q with N=C₇ and Q=C₁₆⋊C₂²

		d	ρ	Label	ID
C₇×C₁₆⋊C₂²		112	4	C7xC16:C2^2	448,917

Semidirect products G=N:Q with N=C₇ and Q=C₁₆⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₁₆⋊C₂²) = C₁₆⋊D₁₄	φ: C₁₆⋊C₂²/M₅(2) → C₂ ⊆ Aut C₇	112	4+	C7:1(C16:C2^2)	448,442
C₇⋊₂(C₁₆⋊C₂²) = D₈⋊D₁₄	φ: C₁₆⋊C₂²/D₁₆ → C₂ ⊆ Aut C₇	112	4	C7:2(C16:C2^2)	448,445
C₇⋊₃(C₁₆⋊C₂²) = D₁₁₂⋊C₂	φ: C₁₆⋊C₂²/SD₃₂ → C₂ ⊆ Aut C₇	112	4+	C7:3(C16:C2^2)	448,448
C₇⋊₄(C₁₆⋊C₂²) = D₈.D₁₄	φ: C₁₆⋊C₂²/C₂×D₈ → C₂ ⊆ Aut C₇	112	4	C7:4(C16:C2^2)	448,681
C₇⋊₅(C₁₆⋊C₂²) = Q₁₆⋊D₁₄	φ: C₁₆⋊C₂²/C₄○D₈ → C₂ ⊆ Aut C₇	112	4+	C7:5(C16:C2^2)	448,727

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